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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 225 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  2. 2.What comes next? 29, 35, 41, 47, 53, ? (a) 65 (b) 58 (c) 59 (d) 60
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  4. 4.What comes next? 15, 18, 22, 27, 33, ? (a) 40 (b) 41 (c) 42 (d) 39
  5. 5.What comes next? 30, 35, 40, 45, 50, ? (a) 60 (b) 55 (c) 56 (d) 54
  6. 6.What comes next? 19, 24, 29, 34, 39, ? (a) 49 (b) 43 (c) 45 (d) 44
  7. 7.What comes next? 7, 17, 27, 37, 47, ? (a) 58 (b) 67 (c) 57 (d) 56
  8. 8.What comes next? 20, 22, 25, 29, 34, ? (a) 40 (b) 42 (c) 41 (d) 39
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 32 (d) 24
  10. 10.What comes next? 28, 23, 18, 13, 8, ? (a) 4 (b) 3 (c) 5 (d) 2
  11. 11.What comes next? 41, 33, 25, 17, 9, ? (a) 2 (b) 1 (c) 3 (d) 4
  12. 12.What comes next? 20, 28, 23, 31, 26, 34, ? (a) 42 (b) 39 (c) 29 (d) 28
  13. 13.What comes next? 44, 41, 38, 35, 32, ? (a) 30 (b) 29 (c) 26 (d) 28
  14. 14.What comes next? 12, 10, 8, 6, 4, ? (a) 2 (b) 4 (c) 3 (d) 1
  15. 15.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 41 (d) 42
  16. 16.What comes next? 41, 35, 29, 23, 17, ? (a) 11 (b) 10 (c) 12 (d) 5
  17. 17.What comes next? 12, 17, 16, 21, 20, 25, ? (a) 23 (b) 30 (c) 26 (d) 24
  18. 18.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 27 (c) 28 (d) 29
  19. 19.What comes next? 7, 11, 16, 22, 29, ? (a) 39 (b) 37 (c) 36 (d) 38
  20. 20.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 46 (c) 44 (d) 47
  21. 21.What comes next? 15, 24, 20, 29, 25, 34, ? (a) 43 (b) 29 (c) 38 (d) 30
  22. 22.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 22 (b) 20 (c) 17 (d) 18
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  24. 24.What comes next? 25, 32, 39, 46, 53, ? (a) 59 (b) 67 (c) 60 (d) 61
  25. 25.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 49 (c) 51 (d) 50
  26. 26.What comes next? 55, 50, 45, 40, 35, ? (a) 30 (b) 31 (c) 29 (d) 25
  27. 27.What comes next? 12, 17, 14, 19, 16, 21, ? (a) 17 (b) 24 (c) 26 (d) 18
  28. 28.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 13 (b) 14 (c) 16 (d) 19
  29. 29.What comes next? 41, 37, 33, 29, 25, ? (a) 20 (b) 17 (c) 22 (d) 21
  30. 30.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 24 (c) 25 (d) 26
  31. 31.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  32. 32.What comes next? 41, 34, 27, 20, 13, ? (a) 6 (b) 8 (c) 5 (d) 7
  33. 33.What comes next? 30, 38, 46, 54, 62, ? (a) 69 (b) 70 (c) 78 (d) 71
  34. 34.What comes next? 13, 20, 16, 23, 19, 26, ? (a) 21 (b) 33 (c) 22 (d) 30
  35. 35.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  36. 36.What comes next? 60, 51, 42, 33, 24, ? (a) 16 (b) 14 (c) 15 (d) 6
  37. 37.What comes next? 25, 27, 29, 31, 33, ? (a) 37 (b) 36 (c) 34 (d) 35
  38. 38.What comes next? 17, 20, 23, 26, 29, ? (a) 35 (b) 31 (c) 32 (d) 33
  39. 39.What comes next? 47, 41, 35, 29, 23, ? (a) 11 (b) 18 (c) 17 (d) 16
  40. 40.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 16 (c) 14 (d) 11

Answer key

  1. 162
  2. 59
  3. 160
  4. 40
  5. 55
  6. 44
  7. 57
  8. 40
  9. 32
  10. 3
  11. 1
  12. 29
  13. 29
  14. 2
  15. 42
  16. 11
  17. 24
  18. 27
  19. 37
  20. 45
  21. 30
  22. 18
  23. 81
  24. 60
  25. 49
  26. 30
  27. 18
  28. 14
  29. 21
  30. 25
  31. 243
  32. 6
  33. 70
  34. 22
  35. 64
  36. 15
  37. 35
  38. 32
  39. 17
  40. 12

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